To address this problem, we must align the isomers of \(C_{10}H_{14}\) from List-I with their corresponding ozonolysis products in List-II. Let's examine each case:
- (A) Cyclohexene derivative: Ozonolysis of a basic cyclohexene derivative typically yields an aldehyde, resulting from the double bond's cleavage without further substitution complexities.
- (B) 1,2-Dimethylcyclohexene: This compound's ozonolysis results in a symmetrical cleavage, producing a diketone as both sides of the double bond will bear a carbonyl group.
- (C) 1-Methylcyclohexene: In this instance, ozonolysis yields both an aldehyde and a ketone. The methyl group's presence facilitates this dual product formation due to differing carbonyl group generation upon cleavage.
- (D) 1,4-Dimethylcyclohexene: Similar to a basic cyclohexene but with additional methyl groups, this compound primarily forms an aldehyde upon ozonolysis.
Now, let's establish the correct pairings between List-I isomers and List-II ozonolysis products:
- (A) Cyclohexene derivative - (II) Diketone product.
- (B) 1,2-Dimethylcyclohexene - (IV) Aldehyde product.
- (C) 1-Methylcyclohexene - (I) Aldehyde product.
- (D) 1,4-Dimethylcyclohexene - (III) Aldehyde and ketone product.
Therefore, the correct answer is: (A)-(II), (B)-(IV), (C)-(I), (D)-(III).